Share
Explore BrainMass

# If a belongs to R is an irreducible element, where R is a unique factorization domain and a divides bc, then a divides b or, a divides c. That is, if a is an irreducible element in R, where R is a unique factorization domain and whenever a divides bc, then a divides b or, a divides c.

If a belongs to R is an irreducible element, where R is a unique factorization domain and a divides bc,
then a divides b or, a divides c.

#### Solution Summary

This solution is comprised of a detailed explanation of the properties of an irreducible element in R, where R is a unique factorization domain. It contains step-by-step explanation of the problem that if a is an irreducible element in R, where R is a unique factorization domain and whenever a divides bc, then a divides b or, a divides c. That is, it contains step-by-step explanation of the problem that if a belongs to R is an irreducible element, where R is a unique factorization domain and a divides bc, then a divides b or, a divides c. Notes are also given at the end.

Solution contains detailed step-by-step explanation.

\$2.19